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We identify a fundamental difference between classical and quantum dynamicsin the linear response regime by showing that the latter is in generalcontextual. This allows us to provide an example of a quantum engine whosefavorable power output scaling \emph{unavoidably} requires nonclassical effectsin the form of contextuality. Furthermore, we describe contextual advantagesfor local metrology. Given the ubiquity of linear response theory, weanticipate that these tools will allow one to certify the nonclassicality of awide array of quantum phenomena.

Certifying quantum signatures in thermodynamics and metrology via contextuality of quantum linear response